齿宽系数对面齿轮齿根弯曲应力的影响

Impact of coefficient of tooth width on bending stress of face gear

根据面齿轮传动的啮合原理,给出面齿轮齿根弯曲应力计算的三齿几何模型。采用正交试验法,确定面齿轮的计算参数。通过有限元分析,计算面齿轮齿根弯曲应力;将面齿轮当量成齿条,分析弯曲应力比值与齿宽系数的关系,获得面齿轮齿根弯曲应力的拟合计算公式。研究结果表明:面齿轮最大弯曲应力位于齿根部位;沿齿根最大弯曲应力的齿宽方向,其弯曲应力近似呈抛物线分布;面齿轮弯曲应力的比值与齿宽系数近似呈线性分布,平均相对误差为6.17%;齿根弯曲应力对面齿轮的齿宽系数和齿数较敏感,在使用本文给出的拟合计算公式,且当面齿轮齿数小于90且齿宽系数小于3时,计算结果可适当放大5%,以减小齿宽系数和齿面曲率对齿根弯曲应力的影响。

Based on engagement theory of face gear drive, the three-teeth geometric model of face gear was developed to calculate the bending stress. The design parameters were confirmed using orthogonal experiment method, and the bending stress of face gear was calculated by finite element analysis （FEA）. Regarding the face gear as a rack, the expression of bending stress of face gear and the relationship between bending stress ratio and coefficient of tooth width were obtained. The results show that the maximum bending stress location is in tooth root, and the distribution of bending stress is parabolic line approximately along the tooth width of the maximum bending stress location. The relationship between the ratio of bending stress and the coefficient of tooth width is approximately linear and the mean relative error is 6.17%. The eoeffieient of tooth width and teeth number affect the bending stress greatly. In order to diminish the effect of coefficient of tooth width and teeth number on the bending application of the expression of bending stress of face gear when tooth width is less than 3. stress, the results appropriately magnifies by 5% in the teeth number is less than 90 and the coefficient of tooth width less than 3.